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Finding the Third Proportional to 1,378,800 and 1,985,876

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Solution

The third proportional to 1,378,800 and 1,985,876 is: 2,860,243.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,800 : 1,985,876 = 1,985,876 : x
  2. Step 2: Convert to fraction form
    1,378,800/1,985,876 = 1,985,876/x
  3. Step 3: Cross multiply
    1,378,800x = 1,985,876 × 1,985,876
  4. Step 4: Simplify right side
    1,378,800x = 3,943,703,487,376
  5. Step 5: Solve for x
    x = 3,943,703,487,376/1,378,800
  6. Step 6: Final answer
    x = 2,860,243.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.